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Mandarinka [93]
3 years ago
11

What is each number in scientific notation?

Mathematics
1 answer:
Vladimir [108]3 years ago
8 0

0.00037 = 3.7×10^-4

37,000 = 3.7×10^4

_____

The exponent of 10 is the place-value multiplier that the most-significant digit has.

In the first number, the most-significant digit (3) is multiplied by 0.0001 to find its place value. Of course 0.0001 = 10^-4.

In the second number, the most significant digit (3) is multiplied by 10,000 to find its place value. You know that 10,000 = 10^4.

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You would like to build a relative frequency distribution for this data set to easily compare it to another class of students.
Dafna1 [17]

The relative frequency for the third class, 60 - 69 is equal to 12%.

<h3>What is a class width?</h3>

In a frequency distribution table, a class width can be defined as the difference between the upper (maximum) and lower (minimum) boundaries of any class in a data set. This ultimately implies that, all classes must all have the same width in a frequency distribution table.

<h3>What is a frequency table?</h3>

A frequency table can be used to graphically represent the frequencies or relative frequencies that are associated with a categorical variable.

<h3>How to calculate the relative frequency for the third class, 60 - 69?</h3>

First of all, we would determine the total number of frequency as follows:

Total frequency = 12 + 11 + 6 + 10 + 11

Total frequency = 50.

Mathematically, relative frequency can be calculated by using this formula:

Relative frequency = class frequency/total frequency × 100

Relative frequency = 6/50 × 100

Relative frequency = 0.12 × 100

Relative frequency = 12%.

Read more on frequency table here: brainly.com/question/20744563

#SPJ1

Complete Question:

You would like to build a relative frequency distribution for this data set to easily compare it to another class of students.

What is the relative frequency for the third class, 60 - 69?

8 0
2 years ago
During a catered lunch, an average of 4 cups of tea are poured per minute. The lunch will last 2 hours. How many gallons of tea
Greeley [361]

Answer:

Step-by-step explanation:

4 cups of tea per minute.......lunch lasts 2 hrs.....there are 120 minutes in 2 hrs...so in 2 hrs, there will be (4 * 120) = 480 cups

and if there is 16 cups in 1 gallon, the caterer needs to bring :

480 / 16 = 30 gallons <==

6 0
3 years ago
Read 2 more answers
What is the solution to the following question
Anastaziya [24]

Answer:

3

Step-by-step explanation:

2(x + 1) = 3(5 - x) + 2

Distribute,

2(x + 1) = 3(5 - x) + 2

2x + 2 = 3(5 - x) + 2

Rearrange terms,

2x + 2 = 3(5 - x) + 2

2x + 2 = 3(-x + 5) + 2

Distribute,

2x + 2 = 3(-x + 5) + 2

2x + 2 = -3x + 15 + 2

Add the numbers,

2x + 2 = -3x + 15 + 2

2x + 2 = -3x + 17

Subtract 2 from both sides,

2x + 2 = -3x + 17

2x + 2 - 2 = -3x + 17 - 2

2x  = -3x + 17 - 2

2x  = -3x + 15

Add 3x to both sides,

2x  = -3x + 15

2x + 3x  = -3x + 3x + 15

5x  = -3x + 3x + 15

5x  =  15

Divide both sides by the same factor (15),

5x  =  15

5x/5 = 15/5

x = 15/5

x = 3

Hence, the answer is 3.

4 0
2 years ago
Write a fraction that is equivalent to a terminating decimal between 0.5 and 0.75
fomenos
0.5 = 1/2 = 2/4 = 4/8 = 8/16 = 16/320.75 = 3/4 = 6/8 = 12/16 = 24/32
Then the fractions in between are 5/8, 9/16, 11/16, 17/32, 19/32, 21/32, 23/32
7 0
3 years ago
In the figure below, a shaded polygon, which has equal sides and equal angles, is partially covered with a sheet of blank paper.
Zepler [3.9K]

Answer:

The polygon has 9 sides ⇒ D

Step-by-step explanation:

This is a tricky question

∵ The shaded figure is a quadrilateral

∴ The sum of the measures of its angles is 360

∵ Its angles are <u>x, y, and two vertices of the polygon</u>

∵ All angles of the polygon are equal in mesures

∴ x + y + m of 2 vertices = 360°

∵ x + y = 80

→ Substitute the value of x + y above by 80

∴ 80 + m of 2 vertices = 360

→ Subtract 80 from both sides

∴ m of 2 vertices = 280

→ Divide the two sides by 2

∴ m of 1 vertex = 140°

∴ The measure of each angle of the polygon is 140°

<em>The sum of the measures of the </em><em>interior angle and the exterior angle</em><em> at any vertex of the polygon is </em><em>180°</em>

∵ m of interior ∠ + m of exterior ∠ = 180° ⇒ at any vertex

∴ 140 + m of exterior ∠ = 180°

→ Subtract 140 from both sides

∴ m of exterior ∠ = 40°

∴ The measure of each exterior angle is 40°

<em>The </em><em>sum </em><em>of the measures of the </em><em>exterior angles</em><em> of any polygon is </em><em>360°</em>

∵ The measure of each exterior angle of the given polygon is 40°

∴ The number of the angles of the polygon = 360 ÷ 40 = 9

∵ The number of the angles of the polygon = the number of its sides

∴ The polygon has 9 sides

4 0
3 years ago
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